257919484160 has 324 divisors, whose sum is σ = 692930759724. Its totient is φ = 91434147840.

The previous prime is 257919484117. The next prime is 257919484181. The reversal of 257919484160 is 61484919752.

It can be written as a sum of positive squares in 2 ways, for example, as 63487873024 + 194431611136 = 251968^2 + 440944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257919484096 and 257919484105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2030862017 + ... + 2030862143.

Almost surely, 2^257919484160 is an apocalyptic number.

257919484160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257919484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346465379862).

257919484160 is an abundant number, since it is smaller than the sum of its proper divisors (435011275564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257919484160 is an equidigital number, since it uses as much as digits as its factorization.

257919484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 257919484160 in words is "two hundred fifty-seven billion, nine hundred nineteen million, four hundred eighty-four thousand, one hundred sixty".